The difference of three times a number and 16 is at least 8

PLSSSS HELPPP find the surface area and volume of the prism ILL GIVE BRAINLIESTT

Lady bird [3.3K]

Answer: 94 and 60, 96 and 42

Step-by-step explanation:

1. For surface area, you need to find the area the sides and base.

Base: 3*4= 12

Side 1: 4*5= 20

Side 2: 3*5= 15

Multiply each by 2.

12*2= 24

20*2= 40

15*2= 30

Add them up.

30+40+24= 94 is the surface area.

For the volume, you multiply each given number.

3*4*5

length * width * height = volume

60 is the volume.

2. For surface area, you need to find the area the sides and base. This is a triangular prisim so the formula is differrent.

Base: 3*7= 21

Side 1: (area of a triangle is 1/2bh) 3*4= 12 / 2= 6

Side 2: (area of a triangle is 1/2bh) 3*4= 12/2= 6

Side 3 (the back): 4*7= 28

Side 4 (the shaded): 5*7= 35

Add them up. This isn't a rectangular prisim so we aren't multiplying the found areas again, in the triangula rpriism we already found ALL areas.

21+6+6+28+35

= 96 is the surface area.

For the volume, you multiply each given number. You follow for triangles,

1/2 BAH

7*4*3=84

84/2

= 42 is the volume.

8 0

2 years ago

Read 2 more answers

If f(x) = ln(2), then limx--->2 (f(2)-f(x))/x-2

Blizzard [7]

Answer:

as written, -2
with denominator parentheses, 0
with f(x)=ln(x) and denominator parentheses, -1/2

Step-by-step explanation:

The problem as stated asks for the limit as x approaches 2 of (0/x) -2.

As written, the limit is (0/2) -2 = -2.

Explanation: f(x) is a constant, so the numerator is 0. The ratio 0/x -2 is defined as -2 everywhere except x=0. So, the value at x=2 is 0/2 -2 = -2.

__

If you mean (f(2) -f(x))/(x -2), that limit is the limit of 0/(x-2) = 0 as x approaches 2.

Explanation: f(x) is a constant, so the numerator is 0. The ratio 0/(x-2) is zero everywhere except at x=2. The left limit and right limit are both 0 as x approaches 2. Since these limits agree, the limit is said to be 0.

__

If you mean f(x) = ln(x) and you want the limit of (f(2) -f(x))/(x -2), that value will be -1/2.

Explanation: The value of the ratio is 0/0 at x=2, so we can find the limit using L'Hôpital's rule. Differentiating numerator and denominator, we have ...

lim = (-1/x)/(1)

The value is -1/2 at x=2.

7 0

3 years ago

A survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the resul

pav-90 [236]

Answer:

95% confidence interval for the proportion of the adults who were opposed to the death penalty is (0.668, 0.704).

Step-by-step explanation:

We are given that a survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the results below, where X refers to the number of the respondents who were in favor.

X = 1,790

N = 2,610

$\hat p$ = Sample proportion = X/N = 0.6858

Firstly, the pivotal quantity for 95% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion = 0.6858

n = sample of respondents = 2,610

p = population proportion

Here for constructing 95% confidence interval we have used One-sample z proportion statistics.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at

2.5% level of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

95% confidence interval for p = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ]

= [ $0.6858-1.96 \times {\sqrt{\frac{0.6858(1-0.6858)}{2610} }$ , $0.6858+1.96 \times {\sqrt{\frac{0.6858(1-0.6858)}{2610} }$ ]

= [0.668 , 0.704]

Therefore, 95% confidence interval for the population proportion of the adults is (0.668, 0.704).

3 0

3 years ago

If tan 3x =<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormula1" title="\sqrt{x}" alt="\sqrt{x}" align="absmiddle"

aliya0001 [1]

Answer:

tan3x=√3

tan3x=tan60,tan(180+60)

3x=60,240

:.x=20,80is your answer.

c=

6 0

3 years ago

Mr.arswan prepares a mixture for a science experiment. He measures 10.5 grams of wood shavings,150 grams of iron filings, and 18

Fantom [35]

Answer:

A mixture is a combination of two or more kinds of matter (in our problem, wood, iron, and salt) which are physically mixed but not chemically combined. The sum of each of the matter that makes up the mixture is just the mass of the mixture

Mass wood sharing=10.5g

Mass iron filings=150g

Mass salt=18.5g

Step-by-step explanation:

HOPE IT HELPS

7 0

3 years ago